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Mathematics Course Descriptions |
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| MA
006 |
INTRODUCTORY
ALGEBRA AND GEOMETRY (3
hours) |
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First-degree
equations and inequalities, polynomials,
factoring, rational expressions,
graphs, slope, linear systems, quadratics,
angles, polygons, perimeter, circumference,
area, volume, congruent and similar
triangles, applications. Does not
count toward mathematics general
education requirement or 128 hours
needed to graduate. Required for
students who score 28 or below on
the Algebra portion of COMPASS.
[Required
Courses]
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| MA
115 |
INTERMEDIATE
ALGEBRA (3
hours) |
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Linear
and quadratic equations and inequalities,
polynomials, exponents and radicals,
fractional expressions, graphs and
functions, systems of equations and
inequalities, applications. Does
not satisfy mathematics general education
requirement. Prerequisite: MA 006
and/or a score of between 29 and
40 on the Algebra portion of COMPASS.
[Required
Courses]
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| MA
190 |
INTRODUCTION TO QUANTITATIVE REASONING (MA) (3
hours) |
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This course will investigate quantitative methods from consumer math, algebra, and statistics with an emphasis on applications from business and finance. Students will: demonstrate proficiency in using the real number system; create, use, and interpret graphs; collect, organize, display, and use data; create, solve, and apply linear, quadratic, and exponential functions and equations. This course will satisfy the general education requirements for mathematics and the introductory statistics requirement for business majors. However, it will not serve as a prerequisite for college algebra. Therefore, those students needing college algebra whose math placement score is below 52 on the general algebra portion of the exam will still need to take beginning and/or intermediate algebra. Prerequisite: MA 115 and a minimum score of 41 on the Algebra portion of COMPASS.
[Required Courses]
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| MA
210 |
COLLEGE
ALGEBRA (MA) (3
hours) |
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Covers
basic topics of college algebra
including linear and quadratic
equations, inequalities, graphing
techniques, functions, exponential
and logarithmic functions, zeros
of polynomial functions, rational
functions, systems of equations,
determinants, sequences and series. Graphing
calculator required. Prerequisite:
MA 115 Intermediate Algebra and/or
a minimum score of 52 on the Algebra
portion of COMPASS.
[Required
Courses]
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| MA
211 |
TRIGONOMETRY (MA) (2
hours) |
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Trigonometric
functions and their graphs, circular
functions, identities and equations,
laws of sins and cosines, applications
and right triangle trigonometry.
Prerequisite: minimum score of 46
on the College Algebra portion of
COMPASS.
[Required
Courses]
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| MA
221 |
CALCULUS
AND ANALYTIC GEOMETRY I (MA) (4
hours) |
|
The
first of a three semester sequence
in analytic geometry and calculus. Topics
presented geometrically, numerically,
and algebraically. Definitions
and procedures evolve from the
investigation of practical problems. The
two basic concepts of calculus
-- the derivative and the definite
integral -- will be studied, with
more emphasis this semester on
the derivative. Graphing calculator
required. Prerequisite:
MA 210 College Algebra and MA 211
Trigonometry and/or minimum score
of 26 on the Trigonometry portion
of COMPASS.
[Required
Courses]
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| MA
222 |
CALCULUS
AND ANALYTIC GEOMETRY II (MA) (4
hours) |
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Continuation
of analytic geometry and techniques
of integral calculus. Topics
will be presented geometrically,
numerically, and algebraically. Formal
definitions and procedures evolve
from the investigation of practical
problems. Emphasis
will be on integral calculus and
its applications, improper integrals,
approximations, Taylor series,
polar coordinates and an introduction
to differential equations. Graphing
calculator required. Prerequisite:
MA 221.
[Required Courses]
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| MA
230 |
INTRODUCTORY
STATISTICS (MA) (3
hours) |
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Introduction
to the history of mathematics through
the study of problems associated
with various cultures. A basic survey
of mathematical developments through
the centuries. Topics include early
number systems, mathematics of ancient
Greece and China, Fibonacci and European
mathematics to the 15thcentury,
the dawn of modern mathematics Prerequisite:
Minimum score of 41 on the Algebra portion of COMPASS.
[Required
Courses]
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| MA
323 |
CALCULUS
III: MULTIVARIABLE (4
hours) |
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Functions
of two and more variables, graphs
of functions in space, derivatives
and partial derivatives, vectors,
optimization, integration of functions
of many variables, numerical methods,
cylindrical and spherical coordinates,
parametric curves and surfaces, line
integrals, Greene’s Theorem. Prerequisite:
MA 222.
[Required
Courses]
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| MA
364 |
LINEAR
ALGEBRA (3
hours) (H) |
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Systems
of equations, matrix algebra,
determinants, vector
spaces, given values and eigenvectors,
linear transformations. Focus
on both theory and applications. Prerequisite: MA 323
and MA 372.
[Required
Courses]
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| MA 371 |
MATHEMATICAL MODELING (WCF/H) (3 hours) |
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High level discussion of what mathematical models are, how they are formulated, and the processes used to evaluate them. Survey of simple to moderately complex models, using analytical and numerical techniques, applied to problems taken from a wide variety of disciplines including business, science, and engineering. Uses basic tools of calculus, probability and statistics, linear algebra, and differential equations. Prerequisite: MA 323.
[Required Courses]
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MA
372
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MATHEMATICAL REASONING (WCF/H) (3 hours) |
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Teaches students how to read and understand, write, and construct mathematical proofs. Focus is on the language of mathematics. Topics include: elementary logic, methods of proof, and set theory, relations and functions, graph theory. The course provides the necessary analytical tools for advanced mathematics courses.
[Required Courses]
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| MA
380 |
HISTORICAL
FOUNDATIONS OF MATHEMATICS (3
hours) (IS/H) |
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Historical
topics in mathematics related
to history of culture. Survey
of mathematical developments
and philosophies of mathematics
through the centuries. Early
number systems, ancient Greek
and Chinese mathematics, Hindu
and Arabic contributions, European
mathematics, contributions of
women historically and currently. Problems
related to each period of development. Prerequisite: MA 222.
[Required
Courses]
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| MA
437 |
PROBABILITY
AND STATISTICS (WCF/H) (3
hours) |
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Introduction
to probability, including Bayes Theorem,
random variables, distributions and
probability density functions, expectation,
moment generating functions, and limit theorems. Investigations of descriptive
statistics and inferential statistics, including
confidence intervals, hypothesis
testing, correlation and regression,
and Chi-Square test. Prerequisite:.
MA 323 and MA 372
[Required
Courses]
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| MA
455 |
MODERN
GEOMETRIES (WCF/H) (3
hours) |
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Theory
and applications of modern geometry,
the role of axiomatics in developing
a mathematical system, various methods
of proof including Euclidean and
non-Euclidean geometries, transformational
geometries, symmetry, projective
geometry, and finite geometries. Prerequisite:.
MA 323 and MA 372
[Required
Courses]
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| MA
463 |
ABSTRACT
ALGEBRA (WCF/H) (3
hours) |
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Introduction
to abstract algebra covering elementary
theoretical and computational aspects
of groups, rings and fields. Computations
and concepts will be studied for
each topic followed by study theory
and proofs. Prerequisite:
MA 323 and MA 372
[Required
Courses]
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| MA
597 |
SENIOR
SEMINAR (2
hours) |
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Senior Integrative
Experience for mathematics majors
who are not in Secondary Education.
Reflections on principals of ethics;
investigations into the role of
mathematics in society; explorations
of current research topics; community
project; and development of a career
portfolio. Prerequisite:
Senior mathematics major.
[Required
Courses]
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| ED
596 |
STUDENT
TEACHING - SECONDARY (8
hours) |
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Semester-long
full-time supervised field experience
in a Placement School. Prerequisites:
completion of professional, general
education, and major course work
and formal admittance into student
teaching.
[Required
Courses]
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USM’s mathematics program combines individualized instruction with unique technology to maximize learning.
“I respect each student as an individual. In math, it’s difficult, but I challenge yet support them on a daily basis.”
Rick Silvey
Mathematics Professor
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